Properties of Exponents

Properties of Exponents Review

Simplify the following:

 $\left(2xy\right)^2\left(4x^2y^3\right)$  

Multiple Choice

Simplify

$$-3x^4y^5\left(2xy^2\right)^2$$  

• $$12x^2y^{ }$$  

• $$-12x^8y^{20}$$  

• $$-12x^6y^9$$  

• $$-1x^6y^9$$  

Simplify

 $\left(7x^6yz\right)^0\left(3x^3y\right)^3$  

Multiple Choice

 Simplify $$\left(4xy\right)^0\left(xy^2\right)$$

• $$4xy^2$$  

• $$xy^2$$  

• $$4x^2y^3$$  

• $$xy$$  

Simplify

 $\left(-\frac{2xy}{ab}\right)\ \frac{x^{-2}y^{-3}a^5}{4b^{-5}}$  

Multiple Choice

Simplify 

$$\frac{\left(x^{-3}\right)^4\cdot x^4}{2x^{-3}}$$  

• $$\frac{x^4}{2}$$  

• $$\frac{x^5}{2}$$  

• $$2x^5$$  

• $$\frac{1}{2x^5}$$  

You are constructing a rectangle that has a length of  $\left(5.34\times10^3\right)$ and a width of  $\left(2.3\ \times10^5\right)$ . Find the area of the box.